Unbounded Violation of Tripartite Bell Inequalities

@article{PrezGarca2007UnboundedVO,
  title={Unbounded Violation of Tripartite Bell Inequalities},
  author={David P{\'e}rez-Garc{\'i}a and Michael M. Wolf and Carlos Palazuelos and Ignacio Villanueva and Marius Junge},
  journal={Communications in Mathematical Physics},
  year={2007},
  volume={279},
  pages={455-486}
}
We prove that there are tripartite quantum states (constructed from random unitaries) that can lead to arbitrarily large violations of Bell inequalities for dichotomic observables. As a consequence these states can withstand an arbitrary amount of white noise before they admit a description within a local hidden variable model. This is in sharp contrast with the bipartite case, where all violations are bounded by Grothendieck’s constant. We will discuss the possibility of determining the… Expand

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